@inproceedings{chen2026ISSACc,
author = {Chen, Shaoshi and Kauers, Manuel and Li, Wenqiao and Li, Xiuyun and Masser, David},
title = {Symbolic Integration in Weierstrass-like Extensions},
year = {2026},
isbn = {9798400725951},
publisher = {Association for Computing Machinery},
address = {New York, NY, USA},
url = {https://doi.org/10.1145/3815436.3815449},
doi = {10.1145/3815436.3815449},
abstract = {This paper studies the integration problem in differential fields that may involve quantities reminiscent of the classical Weierstrass ℘ function, which are defined by a first-order nonlinear differential equation. We extend the classical notion of special polynomials to elements of Weierstrass-like extensions and present algorithms for reduction in such extensions. As an application of these results, we derive some new formulae for integrals of powers of ℘.},
booktitle = {Proceedings of the 2026 International Symposium on Symbolic and Algebraic Computation},
pages = {114–123},
numpages = {10},
keywords = {D-algebraic function; symbolic integration; reduction},
location = {
},
series = {ISSAC '26}
}